Inscribed square problem
The inscribed square problem, also known as the square peg problem or the Toeplitz' conjecture, is an unsolved question in geometry: Does every plane simple closed curve contain all four vertices of some square? This is true if the curve is convex or piecewise smooth and in other special cases. The problem was proposed by Otto Toeplitz in 1911. Some early positive results were obtained by Arnold Emch and Lev Schnirelmann. As of 2020, the general case remains open.
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Inscribed square problem
The inscribed square problem, also known as the square peg problem or the Toeplitz' conjecture, is an unsolved question in geometry: Does every plane simple closed curve contain all four vertices of some square? This is true if the curve is convex or piecewise smooth and in other special cases. The problem was proposed by Otto Toeplitz in 1911. Some early positive results were obtained by Arnold Emch and Lev Schnirelmann. As of 2020, the general case remains open.
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Bei der Toeplitz-Vermutung han ...... gemeine Fall ist offen (2016).
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El problema del cuadrado inscr ...... so general permanece abierto.
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El problema del quadrat inscri ...... ials van ser obtinguts per i .
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Het Vermoeden van Toeplitz is ...... s noch bewezen, noch weerlegd.
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Il problema del quadrato inscr ...... uestione rimane ancora aperta.
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Le problème du carré inscrit, ...... est à ce jour encore irrésolu.
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O problema do quadrado inscrit ...... so geral continuava em aberto.
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The inscribed square problem, ...... the general case remains open.
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Гипотеза Тёплица, также извест ...... гладких кривых задача решена.
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Гіпотеза Тепліца також відома ...... адку залишається не вирішеною.
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1,013,132,326
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Arnold Emch
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Arnold
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Emch
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Bei der Toeplitz-Vermutung han ...... gemeine Fall ist offen (2016).
@de
El problema del cuadrado inscr ...... so general permanece abierto.
@es
El problema del quadrat inscri ...... ials van ser obtinguts per i .
@ca
Het Vermoeden van Toeplitz is ...... s noch bewezen, noch weerlegd.
@nl
Il problema del quadrato inscr ...... uestione rimane ancora aperta.
@it
Le problème du carré inscrit, ...... est à ce jour encore irrésolu.
@fr
O problema do quadrado inscrit ...... so geral continuava em aberto.
@pt
The inscribed square problem, ...... the general case remains open.
@en
Гипотеза Тёплица, также извест ...... гладких кривых задача решена.
@ru
Гіпотеза Тепліца також відома ...... адку залишається не вирішеною.
@uk
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Inscribed square problem
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Problema del cuadrado inscrito
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Problema del quadrat inscrit
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Problema del quadrato inscritto
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Problema do quadrado inscrito
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Problème du carré inscrit
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Toeplitz-Vermutung
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Vermoeden van Toeplitz
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Гипотеза Тёплица
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Гіпотеза Тепліца
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